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Finding the Third Proportional to 458,954 and 661,023

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Solution

The third proportional to 458,954 and 661,023 is: 952,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,954 : 661,023 = 661,023 : x
  2. Step 2: Convert to fraction form
    458,954/661,023 = 661,023/x
  3. Step 3: Cross multiply
    458,954x = 661,023 × 661,023
  4. Step 4: Simplify right side
    458,954x = 436,951,406,529
  5. Step 5: Solve for x
    x = 436,951,406,529/458,954
  6. Step 6: Final answer
    x = 952,059.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.